Answer:
x - 4y = 8
Step-by-step explanation:
Since the Point-Slope Formula is already given to you, convert it to Slope-Intercept Form, and you do that by doing this:
y - 1 = ¼(x - 12) >> y - 1 = ¼x - 3
y - 1 = ¼x - 3
+ 1 + 1
--------------
y = ¼x - 2 >> Slope-Intercept Form
After doing this, you are ready to convert to Standard Form, and you do that by doing this:
y = ¼x - 2
-¼x -¼x
-----------
-¼x + y = -2
Now unfortunately, we do not want fractions as our coefficients, so the way to eliminate the fraction is to multiply the equation by the Multiplicative Inverse of -¼, which is -4:
-4[-¼x + y = -2] >> x - 4y = 8 → New equation without fractions
If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.
